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Finding the Fourth Proportional to 14,242.50, 21,361.32 and 3,851.82

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Solution

The fourth proportional to 14,242.50, 21,361.32 and 3,851.82 is: 5,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.50 : 21,361.32 = 3,851.82 : x
  2. Step 2: Convert to fraction form
    14,242.50/21,361.32 = 3,851.82/x
  3. Step 3: Cross multiply
    14,242.50x = 21,361.32 × 3,851.82
  4. Step 4: Simplify right side
    14,242.50x = 82,279,959.60
  5. Step 5: Solve for x
    x = 82,279,959.60/14,242.50
  6. Step 6: Final answer
    x = 5,777.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.